Statement 1: Number of zeros at the end of 50! is equal to 12. Statement 2: Exponent of 2 in 50! is 47.

Statement-1: The number of zeros at the end of 100! Is, 24. Statement-2: The exponent of prine p in n!, is [(n)/(p)]+[(n)/(p^(2))]+.......+[(n)/(p^(r))] Where r is a natural number such that P^(r)lenltP^(r+1) .

Statement 1: Number of terms in the expansion of (x+y+z+w)^(50) is .^(53)C_3 Statement 2: Number of non-negative solution of the equation p+q+r+s=50 is .^(53)C_3

Each question has four choices a,b,c and d out of which only one is correct. Each question contains Statement 1 and Statement 2. 1) Both the statements are True , and Statement 2 in the correct explanation of Statement 1. 2) Both the statements are True but Statement 2 is NOT the correct explanation of Statement 1. 3) Statement 1 is True and Statement 2 is False 4) Statement 1 is False and Statement 2 is True. Statement 1: Number of roots of the equation cot^(-1)x+cos^(-1)2x+pi=0, is zero. Statement 2: Range of cot^(-1)a n dcos^(-1)x is (0,pi)a n d(0,pi), respectively.

Correct the statements : 0^@C is equal to zero Kelvin.

Each question has four choices a,b,c and d out of which only one is correct. Each question contains Statement 1 and Statement 2. Make your answer as: If both the statements are true and Statement 2 is the correct explanation of statement 1. If both the statements are True but Statement 2 is not the correct explanation of Statement 1. If Statement 1 is True and Statement 2 is False. If Statement 1 is False and Statement 2 is True. Statement 1: tan5^0 is an irrational number Statement 2: tan15^0 is an irrational number.

Observe the following statements : Statement -I : In the expansion of (1+x)^50, the sum of the coefficients of odd powers of x is 2^50 . Statement -II : The coefficient of x^4 in the expansion of (x/2 - (3)/(x^2))^10 is equal to 504/259 . Then the true statements are :

Statement 1. tan[cos^-1 (1/sqrt(82))-sin^-1 (5/sqrt(26))] is equal to 29/3 , Statement 2. {x cos(cot^-1 x)+sin(cot^-1x)}^2= 51/50 , when x= 1/(5sqrt(2)) (A) Both Statement 1 and Statement 2 are true and Statement 2 is the correct explanation of Statement 1 (B) Both Statement 1 and Statement 2 are true and Statement 2 is not the correct explanatioin of Statement 1 (C) Statement 1 is true but Statement 2 is false. (D) Statement 1 is false but Statement 2 is true

Statement-1 Magnetic field inside an ideal solonoid is uniform Statement-2 Magnetic field outside an ideal solonoid is zero Statement-3 Magnetic field at centre of an ideal solonoid is twice the magnetic field at the ends

Statement-1: kinetic energy of SHM at mean position is equal to potential energy at ends for a particle moving in SHM. Statement-2: Total energy in SHM is conserved.

Statement 1. 2^(sinx)+2^(cosx)ge 2^(1-1/sqrt(2)) for all real x , Statement 2. For positive numbers, AMgeG.M. (A) Both Statement 1 and Statement 2 are true and Statement 2 is the correct explanation of Statement 1 (B) Both Statement 1 and Statement 2 are true and Statement 2 is not the correct explanation of Statement 1 (C) Statement 1 is true but Statement 2 is false. (D) Statement 1 is false but Statement 2 is true